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Finding the Fourth Proportional to 102,223, 153,335.88 and 32,102.32

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Solution

The fourth proportional to 102,223, 153,335.88 and 32,102.32 is: 48,153.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,223 : 153,335.88 = 32,102.32 : x
  2. Step 2: Convert to fraction form
    102,223/153,335.88 = 32,102.32/x
  3. Step 3: Cross multiply
    102,223x = 153,335.88 × 32,102.32
  4. Step 4: Simplify right side
    102,223x = 4,922,437,487.24
  5. Step 5: Solve for x
    x = 4,922,437,487.24/102,223
  6. Step 6: Final answer
    x = 48,153.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.